The benzisothiazolyl-substituted aminomethylchromans are prepared either by substituting the corresponding unsubstituted aminomethylchromans on the amine nitrogen or reacting the corresponding benzisothiazolylalkylamines with appropriate activated methylchromans or reacting the amine nitrogen of aminomethylchroman first with an appropriately substituted alkine and then hydrogenating. The benzisothiazolyl-substituted aminomethylchromans can be used as active compounds in medicaments, in particular in medicaments for the treatment of disorders of the central nervous system.